We have shown how to obtain the principal properties for invariant propagation beams such as plane wave, Bessel, Mathieu and Weber. Based in the scalar approach, we provide general expressions for the energy density, the Poynting vector and the Maxwell stress tensor. In fact, these results can be used to study the orbital angular momentum of nonparaxial beams [1]} and new optical phenomena, where these fields are present. Additionally, there are analytical expressions to study the interaction between modes, as in [2]}. Furthermore, the scalar formalism can invite researchers to calculate electromagnetic properties for any new optical field not discovered yet but written in a scalar form [3]}. The present results should be of interest to a wide audience due to its fundamental character.
